Green's function for the wavized Maxwell fish-eye problem
Mathematical Physics
2011-07-08 v1 Analysis of PDEs
math.MP
Optics
Abstract
Unique transformation properties under the hyperspherical inversion of a partial differential equation describing a stationary scalar wave in an -dimensional () Maxwell fish-eye medium are exploited to construct a closed form of the Green's function for that equation. For those wave numbers for which the Green's function fails to exist, the generalized Green's function is derived. Prospective physical applications are mentioned.
Keywords
Cite
@article{arxiv.1107.1466,
title = {Green's function for the wavized Maxwell fish-eye problem},
author = {Radosław Szmytkowski},
journal= {arXiv preprint arXiv:1107.1466},
year = {2011}
}
Comments
LaTeX, 14 pages